468907223232 has 168 divisors, whose sum is σ = 1443623965680. Its totient is φ = 133934653440.

The previous prime is 468907223227. The next prime is 468907223237. The reversal of 468907223232 is 232322709864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468907223227) and next prime (468907223237).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (468907223237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53517732 + ... + 53526492.

Almost surely, 2^468907223232 is an apocalyptic number.

468907223232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468907223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721811982840).

468907223232 is an abundant number, since it is smaller than the sum of its proper divisors (974716742448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468907223232 is a wasteful number, since it uses less digits than its factorization.

468907223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479 (or 14462 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 468907223232 in words is "four hundred sixty-eight billion, nine hundred seven million, two hundred twenty-three thousand, two hundred thirty-two".